I dont think he will either..
My response was to who i believe was CFS that suggested him moving to CF every day
I don't want to speak for him but what I've been suggesting for quite some time is for them to play Heyward the majority of the time in CF but with the ability to move him to RF should they want Almora in the line up. I mean obviously if they were to sign say Harper that changes the math a bit but my point is more thinking about a rigid line up isn't really that worthwhile IMO. For example, let's say they do sign harper. And also for the sake of argument let's assume they aren't dealing anyone. Presumably your every day line up would be Schwarber/Heyward/Harper. Again, you're not going to get that 160 games. You're probably looking at like 100-120 for those 3 plus a similar amount for Almora. So, what you'd likely see is days Schwarber sits, Almora is in CF and Harper is in LF.
Working under that sort of assumption I think Heyward is perfectly fine in CF. Is he Almora? Probably not but I think you're underestimating how good he is compared to other CF's. Mike Trout is a good not great CF defensively. He was an UZR/150 5.8 last year. On his career Heyward is 13.5 and even if you think that's too small a sample to fully judge, if you say he's the 5.4 he was last year you're roughly talking about him being similarly defensively to trout. For what it's worth, the break down of his uzr was 5.0 for his arm, 0.8 for his range and 0.5 for his error rate. Trout's numbers last year were 1.4, 1.4, and 1.3. Almora's were 0.8, 0.3, and 0.8.
Point here being, Heyward has the range to play CF. He's not AMAZING there like he is in RF but he's still an above average CF and even if he starts to fall off some he's definitely playable there as a starter for the foreseeable future. If you'd prefer someone who's a better defender in CF that's a different debate and probably an interesting one. But honestly the only reason he isn't in CF for his entire career is because they assumed given his size he'd both fill out like a power hitting corner OF would and he'd also ya know hit like one.
Now were you to do the above scenario of Harper/Schwarber/Heyward as an OF that does limit Happ some in the OF but with no La Stella there's going to be more playing time in the infield not to mention they don't have an obvious pinch hitter for typical situations off the bench right now. I mean I think you'd probably take him over Russell. Likewise you'd probably take him over Almora on most days. You're not going to blow your back up catcher PH. And there's maybe one other guy be that bote or some SS type util guy but that's unlikely to be a better hitter than Happ.
Long story short(for me), I think it works. The fact of the matter is they aren't moving Heyward at least not now. It's too cumbersome to do because they aren't likely finding someone who'll just take the contract and he's more valuable to you than to just eat money to be rid of him. And if you're stuck with him for now, he's far more useful in CF where finding a CF who can hit even 100 wRC+ league average is hard.