The combined market share of the largest and second largest insurer provider goes below 50% only in four states. It goes below 60% in only 5 states. That makes a combined 9 states out of 52 or so where there might not be an oligopoly. There are 19 states where their combined share is above 70% and I have used that cut off line strictly, not counting for example 69%.
So yeah, it might be very competitive in 4 states, ok maybe in 9 states. These states seem to be the one I recognise such as California where the combined share is the lowest at 44%, but it seems that for the vast majority of people the market is hardly "very competitive" or competitive at all.