I think J-36s goal is to disrupt kill chains and force multipliers behind enemy lines in 2nd island chain and at the same time, enhance and amplify and provide robustness to its own kill chain along with the new massive UAV we saw few days ago. This is through kinetic and EW means. Hence we see huge huge emphasis on signal power and very long range BVR payload.
Signals too face the tyranny of distance, and this is one big advantage US hands to China as it decides that Taiwan is the hill worth fighting for.
It makes sense in system vs system warfare to hit/disable critical points that disrupt the opponent's system-enablers.
So J-36 would initially operate at strategic level IMO, once it is deemed that kill-chain superiority has been established, it can easily operate at tactical level with a big load of PL-15s.
I believe this is the focus and this strategy was further re-inforced by PAF running circles around IAF.
J-36 is not the spiritual successor to J-20, J-36 has no predecessor.
J-50 is the spiritual successor to both J-20 and J-35.
Now, I will not be surprised that we see a lot of anti-space-based ISR weaponry pop up over the coming years. US knows it will be a challenge to maintain robust kill chains in the air and is doing the big Space-based ISR push along with Golden Dome stuff.
J-36 can act as a kind of bomber but it would be IMO very very specific missions, tactical calls. China can and probably will develop platforms that are alot more efficient for those roles. J-36 is too important to be relegated for bomb runs.
Add UCAVs to all of the above to further amplify each of the capability.