Money isn't the problem.
The problem is shady or incompetent owners who mismanage clubs and their finances. Filtering more money down from the EPL will not solve this problem.
The only way to stop this is de-privatising football and putting all the power back in the FA's hands. Which is almost impossible to do without breaking the sport.
Let's compare 2 sides:
Huddersfield:
TV Money: £12.3 million which is minimum for all teams shown live 10 matches. The sum increases by £1.1 million for each additional game after number 10 regardless of home or away game.
Prize Money: All teams in the P.L are guaranteed £79 million in addition to a bonus depending on position. Huddersfield ended last received a bonus of just £1.9 million
In total Huddersfield received £93 millioner for doing horribly bad in the Premier League. The better and more popular teams received about £40 million more.
Leeds:
TV Money: A team in the Championship get from £100.000-180.000 for home matches - Close to nothing for away matches. Can't remember the details but midweek matches earn you more, weekend less. Leeds was live 24 times and is believed to have made about £2.5 million in TV-Money for being shown 24 times.
Prize Money: All teams in the Championship have a fixed Prize Money - £2.3 million for 2018, believed to be 10% higher for 2019. In addition they get a solidarity payment to help bridge the gap between the Championship and the P.L) of £4.5 million for 2018- expected to rise to £4.7 million for 2019.
Leeds for being the most popular and almost the best team in Championship received a total of roughly £9.5 million. That is almost exactly 10% of what Huddersfield received for being crap.
Let's for sake of argument say that Huddersfield signed 6 players on a free transfer and paid them as little as £15.000 a week - which by P.L standards is next to nothing. When Huddersfield get relegated and don't go up again after 2 years - these 6 players will cost the club £4.5 million a year in wages. And that is just for these 6 players. As Huddersfield is a lot less popular club than Leeds, they realistically will receive £8 million in TV and Prize Money. You don't have to have a Shady chairman or spending a huge amount of Money to end up in problems if you get relegated from the P.L
And that is why so many clubs get relegated 2-3 times almost in succession when they get relegated. They can have extremely low wages by P.L standards, but extremely high by Championship standards.
Clubs being relegated into the Championship need to offload players extremely quick, but not all players want to go. Look at us With Rojo, Darmian and Sanchez. And by off-loading their best players they also ruin their chances of going back up again. If a club like Huddersfield are stuck With 2-3 poor signings making £20.000 a week - how easy will they be to get rid of ?
So of course the gap is the problem. In order to survive in the P.L you need to spend a bit of Money - but someone will get relegated and then they haven't got the Financials to survive. Huddersfield will not come back to the P.L in the near future, Brighton and Burnley will probably struggle if they get relegated.