Ummm... no, Obsidian did not do better than Fallout 3. Much worse, in fact. I have offered numerous posts as to why so I won't repeat them here. Also, the sales and overall criticism of both games demonstrate that the market prefers Fallout 3, both professionally and among consumers. Businesses usually have to go with the majority.
As for RPGs, you might notice that there has not been a true RPG since the 1990s at the very least, and the original Fallout 1 and 2 were not true RPGs any more than other hybrid strategy-RPGs (e.g., Septerra Core, Langrisser franchise, Growlanser franchise) or action-RPGs (e.g., Tales franchise). Morrowind would be the closest that has been done but even it is not true RPG due to the reliance on certain action elements for movement and sighting for magic and archery (or other thrown weapons).
No RPG needs skills, either, so their absence has nothing whatsoever to do with a game being a true RPG (Fallout or any other game). Many RPGs do not have skills. In fact, many do not even have much in the way of explicit abilities, not even for action-RPG hybrids.
A true RPG would be closest to Japanese visual novels, adventures, management simulations, etc. where the entire game is story- and character-focused with outcomes based on various decisions made at critical junctures, as well as decisions in places that may or may not be critical (i.e., players can never be sure what is absolutely critical for certain outcomes and what is not, at least not without playing the game numerous times or using a guide).
BGS, like other companies since the late 1990s, has moved into the area of 3DCG gaming, thus pretty much requiring that such games wind up as hybrids, usually action-RPGs (or something that doesn't have any RPG elements such as an FPS). Todd and his team have heard feedback from all of their games and decided that the majority of people wanted much improved combat. Heck, the changing of combat to player-based rather than character-based between Morrowind and Oblivion, as well as the generally positive response to the change, is a perfect example of how companies do not have much choice in the modern market. I prefer character-based outcomes, but if I want an RPG, I'll play a Japanese game, usually a visual novel or adventure, because those are purely based on characters, not player "twitch" reflexes.
Basically, BGS knows what they are doing and is extremely successful at it. You could always start your own company and make your own games with your own preferences and compete with BGS for consumers. Some of us might even welcome that outcome, but history shows that you probably won't be successful as a business due to the market changes that have occurred, for better or worse.