1) 'Attention to order and perfection' - I'm leaning towards "no" here, he is obsessed with order in his streams (in the sense of 'goes as he planned', even if the rest of us do not get the logic) but I do not see anything suggesting perfectionism. Outside of streams it is oddly selective, he does not seem to mind that the Snort Fort needs major repairs since it is still technically livable but throws a fit if his Doordash is messed up.
2) 'Obsession with productivity' - When you strip away all the BS Phil spends less than a full shift / day streaming even if you count setup, uploading, and so on; most of his free time is spent playing Champions and (I would assume) watching random crap on Netflix with the occasional shopping trip thrown in there. Additionally he's added more zero-effort content like the 'podcast' and tips goals in the last ~decade. He's certainly obsessed with appearing productive but it's just that - an appearance.
ETA: 'They may feel uncomfortable when they go on a vacation' - this is not because he puts a high value on productivity, it is because he is far too attached to his creature comforts and so obsessed with the idea that someone, somewhere might be laughing at him that he cannot step away from social media for any period at all. There may also be some degree of cargo-cult mentality because he does not understand the ecosystem that surrounds him + keeps him out of the poorhouse.
It is never going to happen but a few weeks-a month in the backwoods with no Internet and outdoorsy stuff to keep him busy would do him a world of good.
3) 'Restricted emotions and interpersonal functioning' is a mixed bag
3.1) 'Little affection and warmth' - I'll give you this one, even when he is trying to portray himself as a loving boyfriend/husband it comes across as awkward at best and mean at worst.
3.2) 'Relationships and speech tend to have a formal and professional approach' - nope, don't see it. They are very awkward due to him getting very little IRL socialization his whole life but his default setting is informal and crass. Even post-Kat he still tries to come across as a regular guy despite cutting out the scat humor.
3.3) 'They are extremely careful in their interpersonal interactions' - not seeing this either, he is careless much of the time to the point he has lost whales. Same for the hospital vlog + comments about Kat unless he was purposely trying to twist the knife.
3.4) 'They have little spontaneity' - yep, you're right here
3.5) 'They filter their speech for embarrassing or imperfect articulation' - there is a whole thread on his weird word choices + pronunciations. You can't even argue he's rigorously filtering based on his own badly flawed understanding of English when his speech has gotten stranger in the last few years.
3.6) 'They raise their bar even higher when communicating with [people of higher status]' - yeah, he does this
3.7) 'Communication becomes a time-consuming and exhausting effort, and they start avoiding it altogether' - no, he is fine with rambling for hours so long as it is on his terms. He only clams up when he realizes he is embarrassing himself.
3.

'Others may regard them as cold and detached as a result' - yes, he does this.
Alternatively for the DSM criteria:
1 - Preoccupation with details - Most of the time not unless it involves street fighter, and even when he does try to get into the details it's usually at a surface level
2 - Perfectionism interfering with task completion - he is very inconsistent here, excluding fighting games he does not care about this most of the time but every now and then he will get weirdly fixated on a perfect score/100% completion. Most of the time the big impediment to task completion is his own laziness and you can't really measure this outside of his streams because he does not have 'tasks' beyond ordering doordash, going to the dump, and window shopping on the Designated Day Off. These tasks are all so simple and straightforward that perfectionism cannot play a role, there is one way to do them even in his world.
3 - Rigidity and stubbornness - yup.
4 - Reluctance to delegate - yup.
5- Excessive conscientiousness and pedantry - not unless it's to win an Internet argument.
6 - Workaholic behavior - see above, he is not one but he is obsessed with being seen as one.
7 - Miserliness - Phil bought his car new and convinced himself it was a good deal, avoids discount retailers, and probably orders hundreds of dollars a week in Doordash. He does not meet this even if you ignore Champions.
8 - Inability to discard worn-out or worthless objects - Absolutely, he lets excess furniture pile up and effectively committed himself to holding onto all those video game props when he refused to sell them for a reasonable price.
So three out of eight, or one short of the number needed for a diagnosis.