My ham radio mentors from decades ago warned me about misunderstanding this subject. Your confusion is very similar to my confusion back then, so I am going to convey those concerns to you.
First, please note that you are discussing bandwidth and impedance match on this antenna. You are not discussing antenna gain. In general, if there is a dielectric anywhere near the antenna, you will probably lose signal. Dielectrics, particularly circuit board materials, start to have significant losses as frequencies increase toward the microwave regions. Printed circuit board antennas are usually poor performers for transmitting purposes.
Second, note the wavelength of this signal. A half wave in free space should be slightly less than 6 cm in length. Less than a 1/4 wave antenna tends to have isotropic gain at best.
Third, a well matched antenna does not necessarily radiate well. As my mentors pointed out, a dummy load may have a nearly perfect match, but it doesn't radiate well at all. It is even possible that a badly mismatched antenna might radiate quite well. That said, for high speed digital modulation, reflections caused by mismatched antennas can lead to intra- and inter-symbol distortion. Perhaps you may be old enough to remember analog TVs with mismatched antennas that lead to an image with shadows. That's what a mismatch can do to higher bandwidth signals.
As you shrink antennas, and as you try to keep your radiation efficiency up (compared to an isotropic radiator) your bandwidth will decrease. Very small antennas, if they radiate well, will have correspondingly narrow bandwidths.
So, if you're trying to improve performance and bandwidth, you will probably need to get much closer to a half wavelength in free space. Try to keep other things at least a half wave away from that antenna. There is much more to discuss about this subject. Antennas are the target of more ignorance and snake-oil salesmanship than most other fields I know. However, the study of antenna and transmission line theory can be very rewarding...
Jake Brodsky, PE
Amateur Radio Station AB3A