Should playoff totals be added to career stats?

Specifically referencing baseball here. One argument is that you “reward” players who play in the Postseason, but it’s still a game that counts. Do people look at career totals and suggest that a difference is because of 162 v 154 game seasons? I understand that applies for a single-season record, but it doesn’t have a major impact on the career.

I feel like if you hit 20 homers in playoff action, that should be added to your career HR total.