@Dayz - I never saw much carryover between barbell push press and barbell press. You can recover from it better because, using the same weight, the virtual load is less. Not sure why you have less injury risk - might need to see someone about your pressing patterns.
Just remember that more isn't better, more is just more. You don't have to use a heavier weight if a lighter weight will work. That might sound backwards, but isn't. Something I continually have to tell myself is that it is OK to lighten the load.
If your goal is strength, often that is lift dependent. You can assess that by taking a baseline (say a TRM) with press and push press. Train only push press for 1-3 months. Reassess with TRM press and push press. If both go up, you improved strength. If only push press goes up, you may have improved strength but especially initially I would suspect the improvement is largely technical. If press maintains or goes down, your improvement doesn't carryover to pressing strength, but it might be possible to "realize" those strength gains by a short technical block.
If you're not interested in the press at all, well, there's nothing that says you have to train the press. If your goal is strength in whatever movement you are doing, then that can simply be assessed by whether you're able to progress - e.g. from 24kg to 32kg, you got stronger; from 32kg to 48kg, you got even stronger. If for Giant 2.0 you are clean and push pressing double 32kgs in 3 months while currently you're at 24kgs, I doubt anyone would say you didn't get stronger!
Hypertrophy will be less but if it is honestly a minor goal, you'll be fine. My understanding is that this is becuase the time under tension (TUT) the muscle is under will be less, and that is the (a?) leading factor in driving hypertrophy. If you do slower controlled negatives, this might then get washed out.
And honestly, we do this because we enjoy it. If you love to clean and push press and train it hard, you're going to see improvements and you're more likely to be consistent.
Too long? Basically - train it hard and you'll get stronger. If you don't see enough hypertrophy, "slower the lower" for a block.