The refugee council puts the grant rate at 75% so there may be some change due to this, it's not really the low success rate countries that are the issue
On Starmer seeking advice on what to do the answer from Italy this is relevant
EU 'willingly created a cemetery'
Under the current system, Mr Schroeder said the IOM was concerned that "SAR gaps, alleged delays in rescue, and reported lack of response to distress calls may be contributing to tragedies on this route".
It said there was a lack of SAR co-ordination and that "illegal pullbacks" were being conducted by the Libyan coastguard, which the EU has equipped and trained. In addition, last month, the EU signed a $118m (£90m) deal with Tunisia to try to reduce "irregular" migration.
NGOs have also criticised a new law in Italy requiring their rescue vessels to head to often distant ports after an operation, rather than continuing to patrol for more boats in distress. They say this reduces their time in areas where shipwrecks are more common.
https://www.bbc.co.uk/news/world-europe-66478091
So he may ask but the reply will be very far off his original pledge
The public may well accept similar but it is Labour and very far from 'safe and legal routes' or 'smash the gangs'