How does profit correlate with the duration of options?
You may profit more off of short-term options in terms of returns. The reason is simple: with less time to expiry, the time value of an out-of-the-money option is near 0. However, this is only true if the options expire in-the-money -- a huge &quot;if.&quot;
There are a few caveats that are crucial:

Options impound the entire future expected distribution of returns, so you are unlikely to make easy money.
Any post on Reddit or other social media on money made trading or trading opportunities is likely to be worthless and could be trying to lure you into a pump-and-dump or other manipulation. I would stop reading such posts on Reddit.
You mention options maturing in 7 and 21 days as well as LEAPS. Weekly expirations tend to be very illiquid as do LEAPs. Quarterlies are your most liquid expiries; I'd stick to those.
The bid-ask spread can be quite wide for weeklies, LEAPS, and out-of-the-money options near expiry. You could easily pay a bid-ask spread that is nearly the quoted price of the option -- so a 100% bid-ask spread.

Glad to hear you aren't planning to trade this on your own. I've traded options for years professionally and even I will not trade options in my personal account.