I'm using a mining service that supports Segwit.
For the moment, that mining service sends me BTC each mouth on my "1example123" Bitcoin Core Wallet.

Let's say the fork happens and at the moment of the fork I have 0.5 BTC on my "1example123" Bitcoin Core Wallet.
Until I make a decision, I can have :
*0.5 BTC on my "1example123" Bitcoin Core Wallet
or
*0.5 BTC on my "1example123" Bitcoin SegWit Wallet


That mining service will start sending SegWit BTC after the 1st of August on my "1example123" address.
Lets say they send me, in August, 0.1 SegWit BTC.
Until I make a decision, I can :
*End up with 0.5 BTC on my "1example123" Bitcoin Core Wallet + 0.1 BTC on my "1example123" Bitcoin SegWit Wallet
or
*End up with 0.6 BTC on my "1example123" Bitcoin SegWit Wallet


Do I understand it right ?