I compared two players, Pat Burrell who debuted in late May of 2000 and played his final MLB game in late September of 2011, and Jose Altuve who debuted in Late July of 2011 and is still playing today. During Burrell's career the league strikeout, walk and home run rates were 17.2%, 8.6% and 2.7% respectively. During Altuve's career (as of posting this) the numbers for the league have been 21%, 8.2% and 2.9% respectively.
Burrell struck out 24% of the time making him pretty prone to it in both eras, but he wouldn't even really stick out in that regard by today's standard; his 14.3% walk rate is elite in any era. Altuve, however, has a pristine 11.7% strikeout rate but his walk rate is below average at 6.7%. The latter is most likely explained by his super high contact ability as he won the batting title three times between 2014 and 2017. His strikeout rate has steadily crept up each year though from just 7.5% in 2014 to 9.5% in 2015 (which is when his home run numbers began to go up noticeably) all they way up to the high mark of 18.6% in 2020.