Unreliable wifi on Ubuntu - RT3290 Wireless 802.11n 1T/1R PCIe

Dear Community,

I have an HP 4340s laptop, and have been using Ubuntu since 2013.
During the years I used mainly LTS versions though the symptoms I'm describing occurred on several version. I can't recall exactly though as far as I can, 14.04 LTS and 18.04 LTS were stable in terms of the wifi, though 17.10 and 19.10 were not. I hoped that going up to 20.04 LTS will solve this phenomenon again, though unfortunately it's not the case.

Issues:
1) wifi is working for a while then suddenly the Wifi icon turns to be a (?) - question mark - and no network is available
  - workarounds:
    - put wifi to airplane mode, and turn it again
    - run this command: sudo ifconfig wlo1 down;sleep 5;sudo ifconfig wlo1 up;
2) GIVEN wifi is on, WHEN I power off the laptop it turns off THEN restarts in a couple second 3-4 sec
  - workarounds:
   - put wifi to airplane mode, and power off after this
   - run this command: sudo ifconfig wlo1 down;sleep 5;shutdown now

I think the problem is around the wifi driver, though before I start replacing it based on random linux forum comments I though I summarize it here perhaps someone experienced the same.

Some details:
gnagy@hp-pb-4340s:~$ uname -a
Linux hp-pb-4340s 5.4.0-28-generic #32-Ubuntu SMP Wed Apr 22 17:40:10 UTC 2020 x86_64 x86_64 x86_64 GNU/Linux

gnagy@hp-pb-4340s:~$ cat /etc/lsb-release
DISTRIB_ID=Ubuntu
DISTRIB_RELEASE=20.04
DISTRIB_CODENAME=focal
DISTRIB_DESCRIPTION="Ubuntu 20.04 LTS"

gnagy@hp-pb-4340s:~$ sudo lshw -C network
  *-network
       description: Wireless interface
       product: RT3290 Wireless 802.11n 1T/1R PCIe
       vendor: Ralink corp.
       physical id: 0
       bus info: pci@0000:04:00.0
       logical name: wlo1
       version: 00
       serial: f4:b7:e2:1d:ea:25
       width: 32 bits
       clock: 33MHz
       capabilities: pm msi pciexpress bus_master cap_list ethernet physical wireless
       configuration: broadcast=yes driver=rt2800pci driverversion=5.4.0-28-generic firmware=0.37 ip=192.168.0.94 latency=0 link=yes multicast=yes wireless=IEEE 802.11
       resources: irq:19 memory:d0610000-d061ffff

As I found 'driver=rt2800pci' is the open source driver and "is experimental"

I tried today:
gnagy@hp-pb-4340s:~$ sudo iwconfig wlo1 power off
gnagy@hp-pb-4340s:~$ iwconfig
wlo1 IEEE 802.11 ESSID:"Radios internet"
          Mode:Managed Frequency:2.442 GHz Access Point: 34:2C:C4:92:29:28
          Bit Rate=65 Mb/s Tx-Power=20 dBm
          Retry short long limit:2 RTS thr:off Fragment thr:off
          Power Management:off <--- this is off now, before the command it was on
          Link Quality=44/70 Signal level=-66 dBm
          Rx invalid nwid:0 Rx invalid crypt:0 Rx invalid frag:0
          Tx excessive retries:0 Invalid misc:40 Missed beacon:0

Wifi seems to be stable for a while let's see whether it solves the random wifi drop issue or not.
However it does not solve the restart issue.

I welcome any idea around this.