There is no doubt that a player can use a channelled ability for an extended period of time.
Whether Energy Siphon the aura or the focus school Zenurik's Well Spring ability should work with a channelled ability is a different topic.
Energy Siphon is arguably strong, however it does give fixed energy generation. How easy it is to access energy for a warframe and how they use their ability is different. What resources it takes to access or utilize various forms of energy generation such as Zenurik's Well Spring. Etc. etc. etc.
Abilities aren't free. At least, Digital Extremes does not believe they should be. This is a basic design philosophy that they would like to adopt.
And, coming forward, likely abilities will not be free. This topic isn't only in just whether a warframe's channelled ability should be able to use regeneration or if their costs should be decreased more in line with more modern or even more imbalanced but fun frames.
When will we debate whether Channelled abilities should be reworked? Likely when enough support in the game is available for channelled abilities that a serious rebalance would need to be considered. We are beginning to see new arcanes such as Arcane intention, at rank 5 able to give 250 max health per channelled ability. There is Braton Incarnon that gets 38 base damage with a channelled ability active or Kunai Incarnon with 100% multishot. These are small ripples as of right now, but likely they will come to form large waves.
Warframe's energy economy will likely become a future topic point, however in personal opinion, the topic of energy generation will likely be in the topic of a "nerf" and a overall restructuring of the abilities we call "Channelled" abilities, with greater energy drains and lesser effects, unless a creative solution is found.