Dash has 3259 paid nodes. Even subtracting that, it still has around 200 volunteer nodes, which is decent.
One could argue that those nodes technically aren't paid until they make 1001 DASH.
That would be incorrect becase you don't give up your 1000. If you run a masternode for a short time, get one reward, and shut it down, you have more coins than what you started with.
The people running a full node on BTC earn zero income from the node itself, no different from a node on, say, Quark. The fact that roughly 6000 people are doing it anyway (compared to 32 on QRK) says something about the strength and appeal of the coin.
I'm also pretty sure that it costs quite a bit more to run a Bitcoin node than most (all?) other coins. For example, when I was mining on p2pool a while back I had to upgrade my bandwidth allowance (at extra cost) just to keep the Bitcoin node going, and the bandwidth is higher now. No other coin that I can think of has that level of bandwidth requirement.
I wasn't saying anything bad about DASH btw. If you ignore the paid nodes and consider just the volunteer nodes (about 200) that puts DASH behind only BTC, LTC and DOGE, which is close to where it is in the market cap rankings (DASH is a bit higher than DOGE there). The only other two that are close to DASH in terms of volunteer node count are PPC (proof-of-stake) and NMC (anomaly as I mentioned).