Ascenders and descenders of lowercase letters make them easier to differentiate than the blocky shapes of uppercase letters. The same is true when applied to groups of letters as they form words and blocks of text. And is also true when applied to numbers.
The string of text you've shared looks especially awkward as it includes a mix of symbols '/', codes 'FM' '23.64' '24/7' and difficult to interpret wording (what does 'coverage' mean? oh I see, it's a radio station so they mean...).
It's hard to fully understand the impact of lowercase numbers (or old style) on legibility of this particular typeface and the message as-shown are really hard to differentiate as we're mixing so many variables. It could be that the square block-shape of 24/7 vs the lowercase style shown is more familiar and a faster read for your audience.
Generally good type families include these lowercase letters as they round out the options for good typography, and in content often provide the more legible flow/differentiation I mentioned earlier. The larger question of 'appeal' I don't know how to answer. I like the lowercase numbers, especially in a well design typeface, but in some cases they don't fit.