I'm not confused - I'm clarifying your request to move from the general ("the blocks") to the specific ("the Recent Status Update block"), and your response confirms that it is the default blocks that you are asking about.
The 'fix' is to use custom blocks instead, as follows (note: I am not providing what you put in to every field, I am providing the specific things that need to be done...the rest is up to you)
ACP
Pages -> Blocks -> Create Block
In the second field ('Plugin') select the block you want to use ('Recent Status Updates')
Give it a name (example: myBlock)
Save this
Pages -> Blocks -> Create Block
This time, choose 'Custom' -> 'Manual HTML'
On the first tab, name your custom block
On the 'Content' tab, insert the code below
On the same tab, DO NOT enable 'Cache this block'
Save the new custom block
Now, on the front-end you put that custom block in place, instead of the 'Recent Status Updates' block
{{if \IPS\Request::i()->controller==='page' AND !isset(\IPS\Request::i()->id)}}
{block="myBlock"}
{{endif}}
Why do it this way? The 'Recent Status Updates' block is cached, so adding the {{if....}} statement in its content will end up with strange caching results.
Result (there may be some finesse needed, but there is your starting point):