You're putting nothing your stating in context. teemo shrooms hiemer turrets and zyras plants are not used for jungling
teemo shroom are his ult and can be used for jungle clear but this doesn't matter, he has to wait to be level 6, a champions state between level 1-4 is one of the key factors in deciding if they work in the jungle or not.
hiemer turrets already have flat HP with 125 + (25 × level) (+ 「 5 - 40% of Heimerdinger's AP 」 scaling for this exact reason (your coming across as an idiot here btw)
Zyra's plant's only last 10 seconds and do a burst of damage in their short time span, their not designed to tank damage from camps
Shaco's boxes are.
you might as well be making the argument that LeBlanks mirror image, shaco's clone, wukongs decoy, tibbers, spiderlings, malz voidling's ect should all use the same HP bar system just because there pets.
Put the health bar design into perspective m8. your making yourself look foolish.
I'm agreeing with you that shaco's boxes needing more health for late game fight's but you're going about it the wrong way.