大量のオブジェクトを何度もTweenさせる場合はSetRecyclable(true)にした方がよいかもと検証したサンプルコード

PooledDOTween.cs

using UnityEngine;
using System.Collections;
using System.Collections.Generic;
using DG.Tweening;

public class PooledDOTween : MonoBehaviour 
{
    private List<GameObject> objs = new List<GameObject>();
    /// <summary>
    /// TweenerのPoolフラグ
    /// </summary>
    public bool isPool = false;

    private bool _isPlayed;

    /// <summary>
    /// カプセルをたくさん生成
    /// </summary>
    public void CreateCapsules()
    {
        for (int i = 0; i < 10000; i++)
        {
            var obj = GameObject.CreatePrimitive(PrimitiveType.Capsule);
            // 不要なコンポーネントは削除
            var collider = obj.GetComponent<Collider>();
            Destroy(collider);
            objs.Add(obj);
        }
    }

    /// <summary>
    /// Tween開始
    /// </summary>
    public void StartTween()
    {
        if (_isPlayed)
        {
            return;
        }
        _isPlayed = true;
        StartCoroutine(_StartTween());
    }

    private IEnumerator _StartTween()
    {
        while (true)
        {
            foreach (var obj in objs)
            {
                var goal = new Vector3(Random.Range(-10f, 10f), Random.Range(-10f, 10f), Random.Range(10f, 50f));
                if (isPool)
                {
                    // DOTweenのPoolを有効化する
                    obj.transform.DOLocalMove(goal, 1f).SetRecyclable();
                }
                else
                {
                    obj.transform.DOLocalMove(goal, 1f);
                }
            }
            yield return new WaitForSeconds(2f);
        }
    }
}

PooledDOTweenEditor.cs

using UnityEngine;
using System.Collections;
using UnityEditor;

[CustomEditor(typeof(PooledDOTween))]
public class PooledDOTweenEditor : Editor
{
    private PooledDOTween _target;
    private void OnEnable ()
    {
        _target = (PooledDOTween)target;
    }

    public override void OnInspectorGUI()
    {
        base.OnInspectorGUI();
        if (GUILayout.Button("CreateCapsules"))
        {
            _target.CreateCapsules();
        }

        if (GUILayout.Button("StartTween"))
        {
            _target.StartTween();
        }
    }
}