I don’t think so, I’ve had both, betel nut long time ago though, the effect and taste is different for me.
The Khat, katy affect the cheeks because people keep a lot of it for days in the cheeks… as for the mouth days of chewing will wound a little bit too. It needs to be fresh and used fresh for a maximal effect.
But you can use as it in a tea or smoothie, effects might be different than raw chewing but more interesting than coffee for example, in my experience. It’s nice into Rhum, mixed with cola and ginger it’s very interesting 
As for the effects, Khat is euphoric, social, mildy stimulant. Very popular in the north of the big island and the east coast. There is a big Khat production in those places, it’s trees that all very old, as Khat trees needs to be at least 5 years old to produce good Khat. It’s the Cathinone found it the leaves and stalks that produce this warm mild stimulation talkative effect.
It is widely used in East Africa and middle east.
Chewing leaves is okay compare to have to chew on a nut. The taste is a lot more accessible to me.
Khat
Betel nut made me sick, got me sweating the locals gave me lemon juice as an antidote even then I was wired for a while and the guys on it there were quite stoned and sweating buckets. A bit like really strong tobacco… My friend chewed the whole thing it was mixed with some cream and a leaf (might have changed the effect). The effects were trippy. It felt very heavy and poisonous compare to the Khat leaves that felt cleaner.
It was in Sri Lanka. We were there to score some herb or something and the guy was getting hits on this home made ghetto bong made with a piece of antenna and a plastic bottle, that he ended up giving us, they was no rolling papers we were smoking in journals for weeks … suddenly it was betel nut time. Our host invited us to chew those betel nut with them, we were intrigued so we stayed. It was strange ! I might not react well to it but my friend was feeling kind of the same even more pronounced, maybe not used to it yet…
Some katy, some zam, some rhum 
