With threaded gauge and a decent torque spanner I would assume you to get better repeatability. I was messing with some 40 GHz VNA stuff today and they used a spanner to ensure all results were good.
The push on stuff would be quicker and depending on skill you could get ok results. I would be concerned with your hands warming them up. Depending on the ranges you are measuring temperature from handling can have some interesting errors.
Depending on cost then I would be tempted to get the ones with the cheapest indicators as the ones I see in the pictures are just copies of the mitutoyo units. Then I would buy the mitutoyo units as they can be had in 0.001mm resolution and possibly better accuracy (MPE). But that is the mechanical measurement nut in me.