Those 13th gen Intel chips you mentioned are the last generation of chips to grace the LGA 1700 socket. 14th gen and beyond will NOT work on any Intel board you purchase today - dead end.
AM5 is a brand-new platform that should see at least 3 generations of AMD CPUs (if not 4) on it. Support for PCIe 5 GPUs, PCIe 5 NVMe SSDs, and DDR 5 ensure that it will be a platform to build on for years to come. Of course, all this new technology comes at a new (high) price.
If you already have an Intel board and DDR 4 RAM then, yes, upgrading your current CPU to breathe new life into your system may be the best choice. But, if you've got the funds, are on a few generations old Intel system, and are eyeing a full system upgrade, picking up an LGA 1700 platform would be a big mistake in terms of future upgradability.