Most Machinist would gladly trade moiblity for power right now. Ranged Phys main staple is mobility. It was never the case for caster. Go ahead and ask all Summoner mains if they asked and wanted more mobility than they had in ShB? All will say they didn't want that extra mobility. They can revert that decision because it was a bad one
Everyone can optimize but only summoner has caveats that even when you work around you still get punished. Look at P2S since you cleared it, you can hold your CDs and melee combos on RDM until the boss is back and have your burst ready. For Summoner, I can hold my Searing Light but I can't hold my Bahamut. It would require an absurd but possible amount of speed to work around it and on week 1 that's just not happening. Searing Light is still gated behind that Carbuncle must be up and having to push Bahamut just means my burst windows won't align with any cooldown. The caveats on Summoner are just a negative at this point because you can't ask me to have multiple sets just for 1 fight.
Lastly, I do not seek X job to be better than Y job unlike you. Summoner should have a bit more power than Red Mage because Red Mage would still be played because they can res. I can't without saccing my swift which is used in my DPS rotation. You have Magick Barrier which I do see you use a lot which helps your party. I want a balanced meta and mobility isn't what makes you stronger. When the fight is learned, mobility is strong until you have too much of it. Having more mobility wont make you stronger so it should not gut your damage.
You can take a look at the current rankings of P1S on all casters. Mobility isn't winning and unfortunately for you. Red Mage has superior ressing abilities and superior support and it should impact your power. That,s being fair and neutral, if you think it doesn't matter then you are simply biased toward Red Mage.