If you require different factions for dailies, then people play the top deck for every faction, and if they don't have the cards for that deck, they'll not enjoy the experience (that is why I stopped playing Hearthstone when I tried it out about half a year after its release). Newer people won't have multiple competitive decks. This is why I said I feel that forcing people to do something they don't want to do isn't a good design approach. Everybody isn't playing the same identical deck right now, either. There are a number of competitive decks available. Yes, they often contain overlapping cards, but there really is variety.
At low levels when people have fewer cards to choose from, and can't craft the expensive ones, there is less variety, I think, though it's off set by people being more willing to experiment or having to make do with what they have. Monsters are popular at the moment (and newly so) because you can make a strong deck cheaply. Then again, I'm not sure that it's actually a hard fact that less variety is a given, and that it's not a result of a lack of people who make videos about decks that are in between beginner and high-end decks.
For me personally, the end game of Gwent is to collect end game cards, which has nothing to do with being competitive. I have no ambitions to become a top-100 player because I don't have the competitive zeal or skill required for that.
The post byCalrael answers this well, I feel, unless it's not enjoyable for you to over and over beat the same deck that you face by playing a counter deck. To a degree (not entirely), I feel that this is largely a matter of having the choice between being part of the (perceived, not necessarily actual) problem or part of a potential solution.