When we talk about cold wallet, we mean that the wallet is stored on a machine/phone, which has no access to the internet.
Even if you install Electrum wallet on machine which has no internet access, it is the
Electrum cold storage. The same goes for the Airgapped devices. Here I have few questions.
1- If we connect the Internet to that machine once or sometimes (to update the Electrum wallet) , will it not remain a cold storage?
2- If we are sure that there is no malware or something in the computer, what difference does it make to connect that cold storage computer sometimes to the internet to make transactions?
As per my understanding, we do not connect cold storage to the internet because we fear that any malware may get our electrum seeds etc. Is is right ? There is no other reason. Connecting to Internet, does not mean that the Internet will know the private key or leaks your private key.
3- If we install electrum on computer (which is malware free and connected to the internet), make a new wallet, keep a note of the seeds and then uninstall electrum from that computer and also remove the wallet files, isn't it secure too?