I think you are misunderstanding the timeline of Luke 13:24ff. Look at verse 24 in the light of verse 25, and you will hopefully get the idea.
In fact our Lord promises that everyone who seeks, finds etc. (Matt. 7:7-11). The only qualification is that the verbs are in the Present tense, which in Greek usually denotes continuity. 'Everyone who keeps on seeking, finds.'
Van said:
No one seeks God at any time is the Calvinist take on Romans 3:11, rather than no one seeks all the time or when they are sinning.
It is indeed the Calvinist take on Romans 3:11, and it is also the Biblical one. Had the Holy Spirit wished the verse to mean that no one seeks God excepting sometimes, He would have said so.
Van said:
The Lost should strive to accomplish entry through Christ for many will seek in the future and not be able. The idea is the Lost have the opportunity now, but not necessarily in the future, they could physically die, or their heart could be hardened. No sane person can fit the total inability to ever seek after God with the verse!
The lost should indeed strive to enter the kingdom, but as Romans 3:11 says, they do not until it's too late. At the time of Noah, the door of the ark was wide open whilst all the animals went in. Anyone could have entered, until the time when the animals had all gine in,
'and the LORD shut Noah in' (Genesis 7:16). Moreover, Noah was a preacher of righteousness (2 Peter 2:5) and presumably warned the people of the judgement to come. But no one went in except Noah and his family. Then it began to rain and the fountains of the great deep broke up, and no doubt many people rushed to the ark and hammered on the doors until their knuckles were bleeding, but the door did not open
Likewise, the doors of heaven are wide open today, but no one enters save those whose hearts God opens as He did Noah's (Heb. 11:7). But
'when once the Master of the house has risen up and shut the door' (Luke 13:25); when the Lord Jesus returns, many folk are going to bang on the door,
'saying, "Lord, Lord, open for us!"' But it will all be too late.