If nothing else, I’ll agree that the scene does help in furthering their relationship together since Padme otherwise gives Anakin no sign of empathy or comfort on-screen. It does help us buy into the two of them falling in love.
I think I already posted this elsewhere, but in case you missed it, this would be my two cents on the garage scene: https://drive.google.com/file/d/1ml90rgWBTyGyIv0d2pM0xU-foauZ_Esp/view?usp=drivesdk
To my mind that version gives you the best of all worlds - Anakin’s anger/regret without the red flags + Padme’s sincere care for Anakin.