The value as measured by astronomers has changed since Hubble’s day.

The central value has changed but this central value is always coming with an uncertainty that is getting smaller and smaller.

On the whole, we are more certain of what happened in the first three minutes of the Universe than in the first 3 billion years. Modern particle theory strongly supports the story of the Big Bang model

Because it is simple and works extremely well. However, as you said, there are issues. But any other option also has issues. This is why research 9also on alternative cosmologies) is interesting.