Thank you for your question. It is an excellent one. To make sure that I understand it correctly, are you asking if these attributes of God, love, truth and justice, can still be attributed to Him in light of this disaster or is it in trying to reconcile the dilemma that God, who is loving, truthful and just, would allow such a disaster?
If it is the first question: Is God still loving, truthful and just when there is a disaster taking place around us or maybe even affecting us directly? We must look at the covenant He has made with His children, which is His Word, for our answer. The last book of the Old Testament gives us important information. “I the LORD do not change.” (Malachi 3.6) The New Testament confirms that truth. “Jesus Christ is the same yesterday and today and forever.” (Hebrews 13.8)
The unchanging and immutable nature of God, in the midst of tremendous change around us (Isaiah 54.10), is our rock and our hope and our source of strength. The character of God is directly tied into His word and the promises that He makes to His children. He tells us that His word will never pass away and He is faithful to all His promises. (Matthew 24.35, Psalm 100.5) and even our unbelief towards Him does not change His nature. (Romans 3.3)
To address the second question: How can God, who claims to be loving, truthful and just, allow this disaster? Maybe a question before that question. Does God allow disaster? The Bible has countless stories of God allowing disaster to come upon His children and wicked people alike. We must remember these disasters were in no way arbitrary (random or personal whim) on the part of God. They always came with repeated warnings about continuing to engage in specific and named sins, a time to allow for repentance, and sometimes God would reveal the exact consequences that would follow.
How did God personally feel about having to take such measures? He grieved. He was moved in His heart with great sorrow. (Jeremiah 42.10) He takes no pleasure in even the death of the wicked. (Ezekiel 18.32) He did it because He loved and still loves the individual and the nations and the world. (Isaiah 49.15-16) He does it for the purpose of restoring people to Himself (Psalm 51, 2 Chronicles 7.14, 1 Peter 5.10)
We can trust a God who becomes angry, after much patience with us, when we continue to walk in sin. We can trust a God who displays His wrath towards sin. Those very things reveal His personal investment, the motivation behind the actions taken and what is really the driving force of His heart.
The purest, highest, and holiest there is.
The love of our Creator for each and every single one of us on this planet.
Grace and peace to you,