Which type of aluminum capacitor should I choose?
By some miracle I found the likely vendor you're looking at, and the first and second capacitor product pages.
Your claim that these two caps have the

same values

is, interestingly, not true for any comprehensive definition of &quot;values&quot;. Aside from the first being through-hole and the second being surface-mount - which will significantly influence board layout decisions -

They're rated for different lifetimes, 2000 vs. 5000 hours.
They are from different manufacturers - Koshin vs. Samyoung, and thus from very different product lines.

Direnc unfortunately does not link to any specsheets, so there will be many other parameters - leakage, current tolerances, etc. - that differ. The first of these that I would want to compare is maximum tolerable current, which will affect any inrush analysis that you need to do.