Most things considered, RX and TX are reciprocal for antennas. :) If you have high losses for TX, then you will have high losses for RX; be it ground losses or whatever. Same goes for gain, directivity, take off angles, and lost of other factors.
The difference is RX losses can be easier to overcome, like via the preamp in your active antenna, plus modern-era receivers have incredible gain. In other words, as long as there is a signal to discern, you can typically turn up the receiver volume to compensate for the lack of antenna gain.
As Chris noted, an amp in your RF chain likely is being overloaded. It is probably the inexpensive amp in the active antenna. You might try a smaller loop to limit capture area, thus lowering the input into the amp. First try going back to the factory-included wire loop IMO.
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Admittedly getting into the lipstick-on-the-pig territory, a few of many possible options in increasing order of expense:
* The receiver could be overloading, too, thus overrunning its own selectivity. If the receiver does not have an attenuator or RF gain feature, you can toss together a cheap 10-20dB pad attenuator with a few basic resistors: four for a pi network or three for an even simpler tee network. Like a couple of dollars or less. It is also a good basic RF building project. Lots of designs on the net. Drop a search.
* There also is the option of a high-pass filter to heavily attenuate the MW band to essentially "knock out" AM broadcasters. You can get a basic model via eBay for under $20, but do not expect miracles, especially if it is the active antenna preamp overloading. Ideally the filter needs to be *before* whatever is being overloading, which again I would suspect is the active antenna preamp.
Assuming you actually do live next door to an AM broadcaster, there are better high pass filter options to build or buy. Personally I can attest to the build quality of the PAR BCST-HPF, which uses a 7th order elliptic filtering network, but it also costs ~$70 new.
* A potentially more comprehensive solution could be a preselector, though that can get into serious annoyances due to keeping its tuning in sync with your receiver as you change frequencies. Again, though, it really needs to be before whatever is being overloaded, so it is not really where I would start with your current situation.
I have used various revisions of the MFJ-1045 as preselectors for years, especially with portable receivers. Such active preselectors tend to include preamp, attennuator, and preselector features in a single package. There also are passive models without integrated preamps, which can be preferable when needing extra gain is not an issue, as there is no active circuitry to generate more RF. Either way, the biggest downside IMO? Cost if buying instead of building. Most decent models are around $100 to $150 new.