The downsampled 44k that went through a half rate filter might actually sound better, for that matter. The speakers won't try to reproduce the content above 22khz then.
Even in professional audio environments, monitor speakers' electronics are generally designed to filter out such high frequencies.
The "frequency response" spec listed on speakers will tell you what range they are designed to reproduce. Typically, it's approximately 20Hz to 20,000Hz to match human hearing, perhaps with a higher floor if the speaker is designed to be paired with a subwoofer. This range is usually a deliberate (and sensible) limitation imposed by the electronics, not necessarily the materials or the magnet design, etc.
Some speaker manufacturers will list abnormally low or high range numbers on the spec sheet in an attempt to attract customers who mistakenly believe a wider range means the speaker is better. But even those speakers have a steep roll off curve at the extreme ends of the range, so it barely makes any difference.
Even pro audio manufacturer don't seem to lowpass their loudspeakers. Compounded with aluminium dome tweeters having a breakup resonance around ~25 kHz, the problem /could/ exist; but since we don't hear above 20 kHz (and not much above 18~19 for most of us), the only possibility would some kind of mythical modulation I've never seen measured in real world design.
