According to wikipedia the Yogi gov sanctioned $2 billion for land acquisition (284 acres) in 2018. That is a large sum of money. Ayodhya/Faizabad is approx 140 km from Lucknow by road - on old NH. May be slightly different on new highways ... I have not traveled lately
Lucknow is getting better and better connectivity. A luxury bus service on the highway from LKO to Ayodhya or a fast train connection would be more useful IMO... at this time at least... and cheaper
Most people will fly into/out of LKO or even GKP (also 140 km) because of more convenient and direct flights. Flights to Ayodhya will be connecting flights in most instances (via Delhi or Mumbai or LKO or GKP etc) since it is unlikely that there will be sufficient business to have direct flights to many locations from Ayodhya.
I see that in the US all the time... small regional airports have little usage because of flight convenience. And the US has no public transportation (train, bus etc). Many survive on government subsidies.
Plus isn't the Delhi-Benares bullet train going to have an Ayodhya link