Not necessarily. You are showing that your basis for the way you interpret such scriptures as John 3:16 is your own ideas rather than questioning them. Not quite the same approach that Paul took :
Hath not the potter power over the clay, of the same lump to make one vessel unto honour, and another unto dishonour?
What if God, willing to shew his wrath, and to make his power known, endured with much longsuffering the vessels of wrath fitted to destruction:
And that he might make known the riches of his glory on the vessels of mercy, which he had afore prepared unto glory,
Romans 9:21-23
Paul sees God's Sovereignty as being worth preserving - even at the expense of man's autonomy :
For what if some did not believe? shall their unbelief make the faith of God without effect?
God forbid: yea, let God be true, but every man a liar; as it is written, That thou mightest be justified in thy sayings, and mightest overcome when thou art judged.
But if our unrighteousness commend the righteousness of God, what shall we say? Is God unrighteous who taketh vengeance? (I speak as a man)
God forbid: for then how shall God judge the world?
For if the truth of God hath more abounded through my lie unto his glory; why yet am I also judged as a sinner?
And not rather, (as we be slanderously reported, and as some affirm that we say,) Let us do evil, that good may come? whose damnation is just.
Romans 3:3-8
And consider that mercy, in some cases, may be NOT offering that which God knows beforehand will be rejected :
And that servant, which knew his lord's will, and prepared not himself, neither did according to his will, shall be beaten with many stripes.
But he that knew not, and did commit things worthy of stripes, shall be beaten with few stripes. For unto whomsoever much is given, of him shall be much required: and to whom men have committed much, of him they will ask the more.
Luke 12:47-48
Remember...the ultimate goal here is NOT the salvation of man - but rather the culmination of all things in Christ :
Wherefore God also hath highly exalted him, and given him a name which is above every name:
That at the name of Jesus every knee should bow, of things in heaven, and things in earth, and things under the earth;
And that every tongue should confess that Jesus Christ is Lord, to the glory of God the Father.
Philippians 2:9-11
Having made known unto us the mystery of his will, according to his good pleasure which he hath purposed in himself:
That in the dispensation of the fulness of times he might gather together in one all things in Christ, both which are in heaven, and which are on earth; even in him:
Ephesians 1:9-10
Unless one asserts that all will be saved, the goal is not ultimately the salvation of men - that is only part of His work. It is His glory.
The Lord is good to all: and his tender mercies are over all his works.
All thy works shall praise thee, O Lord; and thy saints shall bless thee.
Psalm 145:9-10
If one calls a mere offer "tender mercies", then that is a rather hollow mercy for the Almighty to be credited with. It's like an earthly father watching his earthly son destroy himself on drugs but not do anything because the son never accepts his offer of help. God's hand is much mightier than that and His purposes go well beyond our will.
Surely the wrath of man shall praise thee: the remainder of wrath shalt thou restrain.
Psalm 76:10
God's end here is that all things redound to His praise and glory. And if that means the damnation of some, how is that unjust? Are any righteous? And if His mercy is undeserved, does not God have the right to do with what is His?
So...short of an actual unfettered universalism...salvation of man is only a part of the plan and not the ultimate goal. It isn't about you or me.