Agreed. In fact, I apologize, because I think I said what you said earlier, just in a different way.
But yeah, strength is low-hanging fruit, for sure. Plus, you should be generating power when you squat, deadlift, etc.
For example, I think I could’ve added 20-40 pounds (random guess) to my deadlift had I learned how to press off the floor (like you’re trying to jump) when initiating the pull. If I would’ve learned to generate that power instead of just pull off the floor, I could’ve lifted more.
In other words, I agree - there is a lot of carryover from gaining strength to generating power.
Also, strength training - if you do enough work (and you need to) and moderate your rest times - will improve your work capacity too. So, if you get winded walking the golf course, even with a push cart, you should notice some improvement in your general fitness/cardio doing a weight training program.
And then once you’re done with your linear progression - I agree with you again - you’ve probably tapped most of your low hanging fruit (otherwise you’d still be doing your 3x per week linear progression) and should move onto something sport (golf) specific. I think Mark Rippetoe mentions this (sport specific training) in his book (Starting Strength)…
For me, I’m no longer doing powerlifting training because my goal was never to be a powerlifter. I got into weight training to improve my general fitness. And now with golf, there’s no way I have time to do both.
But I don’t need to squat 600 lbs or deadlift 700 lbs to play golf or live a high quality of life, either.
I still do some resistance training (bands, parallel bars (that just came in today), calisthenics, rings, sandbags, etc.) and will likely incorporate some dumbbells/weights in the future. But I also mix it up with other training to improve my general fitness and golf game.