Yeah probably true
But while we're on the subject, not sure if anyone is doing this but I think it's a good idea anyways to add a tiny bit of Slime sealant in any inner tube so if and when you get a flat on the road the sealant will show you where the puncture is.
No need for the water/bubbles procedure. For those who don't like to take the valve core off there's the
Slime thru core version. easy plug and play
Yes the push tire down so the valve stem stays in place while pushing on the pump head works.
It's a bigger pain when the rim was drilled for Schrader and you have a Presta with the grommet/collar. With no stem threads or threaded collar-nut holding the Presta value in the bigger hole,
if you need to do any walking while flat, say to get to a gas station pump, or anything you may find the Presta falls into the tire. Especially if your rim has a higher profile and/or the stem is not very long.