The Hubble constant is inversely proportional to the age of the Universe meaning whether acceleration or no acceleration the universe ages every second and so the constant changes respectively.
Yes indeed, it's only a constant in terms of it doesn't change significantly on a human time-scale.
The present Hubble constant Ho is a constant in space. It is the proportionality factor between the recession speed of the observed galaxies and their distance. According to recent measurements, its value is 67-70 km/s.MPc. This value is the same no matter the direction where you are looking in space for your measurements nor the (far) distance of the galaxy. However, as you notice, the proportionality factor between recession speed of galaxies and their distance is not constant in time. For instance, it could have been of the order of 300 km/s.MPc 12 billions years ago.
See also following (old but still up to date) discussion on RG :
https://www.researchgate.net/post/Is_Hubbles_Constant_really_a_constant_Or_just_a_parameter10
Hubble constant is global macro quantum constant =82.489 km s-1 Mpc-1
Ilyanok A.M. Quantum Astronomy. Part II. arXiv:astro-ph/0001059
Or see formula (15) in
A.M. Ilyanok "Femtotechnologies. step 1 atom hydrogen…"
http://www.slideshare.net/alexanderilyanok/femtotechnologies-step-i-atom-hydrogen-alexander-ilyanok
Conference Paper ФЕМТОТЕХНОЛОГИИ. ПЕРВЫЙ ШАГ – АТОМ ВОДОРОДА…
Article Quantum Astronomy. Part II
@Imtiyaz You using a neural-network trained on arXiv papers to answer questions?
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