Handloaded ammo for a 25/06 should absolutely spank factory ammo, but the 25-06 has a few limitations that ultimately led me to get out of it last month after 20+ years:
1. brass quality is lacking
2. factory barrel twists are generally 1-10, which does not support the high-BC bullets
3. high-BC bullets have been very slow to appear on the market and have questionable long-term availability.
#3 has been solved pretty recently with Hornady's ELD announcement. #2 is fixable with a custom barrel. #1 doesn't have any solutions eminent that I know of.
25-284 is a better way to get ~50ish grains of powder capacity behind a 25 cal with brass that is very good. 25 PRC should be in that ballpark too, but both are non-standard chamberings today. A 25 PRC announcement at SHOT would not surprise me given the new heavy 25 cal ELD.