Crossfire2~I love Vortex, but I had one of these and it failed about 20 shots in. Vortex took it back, I traded-up to a Diamondback 4-12 AO and never looked back. That was about a year and a half ago. I (personally) wouldn't trust a cheap scope in higher magnification to be any good. My experience has shown that you're better off with a lower-power scope with better glass. Every time.
To your question directly~I think the Bushnell would be better than the Crossfire2. What company would I rather deal with if the scope failed? Vortex~every time. I don't consider myself a scope "snob", but I'll personally never buy another Crossfire2. On an different note, I was in Bass Pro around Christmas time and noticed they have a line of their own scopes called "Oculus". The glass looked pretty bright/clear, but you can't tell too much about a scope indoors. Nice features like side focus on the model I was looking at/through. Might be worth considering as an entry-level option, especially if Bass Pro stands behind them for warranty service/replacement. (if req.)