Wi-FI; Disable; Disconnect

In Settings, Network and Internet are the options to disconnect or disable Wi-Fi. Please, what is the difference between the two?

I am asking this because my connection has become very flaky over the last month. This taken from the Event Log of a monitoring app, mainly when my system was inactive is illustrative.

28 Jul 2017 22:39:17 DSL connection dropped28 Jul 2017 22:39:17 No DSL connection
28 Jul 2017 22:40:18 DSL connection restored. SNRMup = 5.9 dB, SNRMdown = 9.1 dB
28 Jul 2017 22:43:18 DSL connection restored. SNRMup = 6.3 dB, SNRMdown = 9.1 dB
28 Jul 2017 22:44:17 No DSL connection
28 Jul 2017 22:45:18 DSL connection restored. SNRMup = 4.7 dB, SNRMdown = 9.2 dB
29 Jul 2017 00:14:19 Unable to login to modem/router
29 Jul 2017 00:15:18 DSL connection restored. SNRMup = 6.3 dB, SNRMdown = -4.4 dB
29 Jul 2017 00:15:31 Unable to determine IP address
29 Jul 2017 00:16:17 No DSL connection
29 Jul 2017 00:17:18 DSL connection restored. SNRMup = 6.5 dB, SNRMdown = 9.0 dB
29 Jul 2017 00:17:21 IP address is now
29 Jul 2017 01:52:17 DSL connection dropped
29 Jul 2017 01:52:17 No DSL connection
29 Jul 2017 01:53:18 DSL connection restored. SNRMup = 6.2 dB, SNRMdown = 9.1 dB
29 Jul 2017 01:56:17 DSL connection dropped
29 Jul 2017 01:56:17 No DSL connection
29 Jul 2017 01:57:17 No DSL connection
29 Jul 2017 01:58:17 Unable to collect stats 3 or more times in succession
29 Jul 2017 01:58:17 No DSL connection
29 Jul 2017 01:59:17 No DSL connection
29 Jul 2017 02:00:17 No DSL connection
29 Jul 2017 02:01:18 DSL connection restored. SNRMup = 5.9 dB, SNRMdown = 9.0 dB
29 Jul 2017 02:01:20 IP address is now
29 Jul 2017 02:08:17 DSL connection dropped
29 Jul 2017 02:08:17 No DSL connection
29 Jul 2017 02:09:18 DSL connection restored. SNRMup = 5.8 dB, SNRMdown = 9.1 dB
29 Jul 2017 02:09:20 IP address is now
29 Jul 2017 02:50:19 Auto snapshots taken
29 Jul 2017 04:33:17 DSL connection dropped
29 Jul 2017 04:33:17 No DSL connection
29 Jul 2017 04:34:19 Unable to login to modem/router
29 Jul 2017 04:35:18 DSL connection restored. SNRMup = 6.2 dB, SNRMdown = 9.1 dB
29 Jul 2017 04:35:31 Unable to determine IP address
29 Jul 2017 04:36:19 DSL connection restored. SNRMup = 6.3 dB, SNRMdown = 9.1 dB
29 Jul 2017 04:36:32 Unable to determine IP address
29 Jul 2017 04:37:17 No DSL connection
29 Jul 2017 04:38:17 No DSL connection
29 Jul 2017 04:39:18 DSL connection restored. SNRMup = 6.0 dB, SNRMdown = 9.1 dB

My router is a Billion 8800NL v1. and I am trying to find, if the problems are on the wireless side of the router, or elsewhere. I am confused because neither option seems to prevent items like my wife's IPad or our internet radio connecting wirelssly to the Net.

Am I being stupid; what am I doing wrong? Please help!

Have found in router an option to turn off wireless, but even turning it off does nothing. Inssider shows the Billion still transmitting.

:)Ignore inSSIDer then! I'm still confused, why whatever I do, I am unable to prevent things like the IPad and internet radio from operation, through they are not connected to the router with Ethernet. Am I wanting the impossible i.e. to stop the router communicating with the hardware mentioned?

You hit on one of my thoughts, and reasons for my efforts. I was, indeed, trying to work out if the router was the cause of my problems, before engaging the telephone service supplier with possible cost. On that the phone side has no sign of noise, which in UK can be checked by dialling a special number of the telephone service supplier.
Do you personally, having mentioned the router in your response, suspect it to be the culprit?