Applying for multiple jobs, different departments

Is this frowned upon for an external applicant?

I’ve got an application in progress for which the sift date has passed but I’ve not heard anything. I worked hard on my personal statement and submitted it last minute, so just been waiting on the feedback which I guess might take a while based on what I’ve read on here about sift times.

Meanwhile I’ve spotted another very similar role in another department and thought about applying. Obviously I’d do my personal statement from fresh etc.

I prefer the first role due to the overall job and the location, but equally would be interested in the second. The new job I’ve seen doesn’t close for a couple of weeks, so should I wait?

Im involved in some recruitment activities with my current employer, and people scoff when an applicant submits a CV for more than one position. I think they think it comes across a little desperate and they get skipped over, though there’s no sift as such, just eyes on a CV. I’ve seen this in other places too. Don’t want to hurt my chances of either role here by coming across like I’m hedging my bets or anything.